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DSn METHOD WITH TVD RECONSTRUCTION AND SYNTHETIC P1SA ITERATION ACCELERATION FOR NUMERICAL SOLUTION OF THE TWO-DIMENSIONAL THERMAL RADIATION TRANSPORT EQUATION IN THE AXIALLY SYMMETRIC RZ GEOMETRY

A. D. Gadzhiev, D. A. Koshutin, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2016. Вып.4. С. 3-19.

Development of an efficient numerical solver for the thermal radiation transport equation is a challenging problem. We consider a new technique for numerical solution of the two-dimensional thermal radiation transport equation. The idea of the new approach is to use the discrete ordinate method with TVD reconstruction for solving the kinetic equation and a synthetic method based on a P1-approximation for accelerated convergence of iterations in joint solution of the transport and energy equations.

Keywords: radiation transport, TVD reconstruction, iteration method.







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